Timeline for Shear transformations
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 6, 2009 at 1:14 | vote | accept | M. E. Irizarry-Gelpí | ||
| Nov 5, 2009 at 3:03 | answer | added | Deane Yang | timeline score: 2 | |
| Nov 5, 2009 at 2:23 | answer | added | Reid Barton | timeline score: 1 | |
| Nov 5, 2009 at 2:22 | comment | added | Anton Geraschenko | No, they don't form a group. However you define a shear, any upper (or lower) triangular matrix with 1s on the diagonal is a composition of shears. But any determinant 1 matrix can be written as a product of such a lower and upper triangular matrix, and it's certainly not true that any determinant 1 matrix is a shear (for example, no non-identity element of SO(n) is a shear, since non-trivial shears always change some angles). You should really just say what you're trying to do; many math people do lots of physics, and this question is pretty impossible to answer without any motivation. | |
| Nov 4, 2009 at 22:54 | comment | added | M. E. Irizarry-Gelpí | I edited the question. | |
| Nov 4, 2009 at 22:47 | history | edited | M. E. Irizarry-Gelpí | CC BY-SA 2.5 |
Changed the question and reference.
|
| Nov 4, 2009 at 21:56 | comment | added | Anton Geraschenko | "Shear transformations" isn't really a subject, so you won't find a book with that title. Could you please clarify what it is that you want to know about shears, or what you're trying to do with them? As stated, I don't think this question has an answer. | |
| Nov 4, 2009 at 20:36 | comment | added | M. E. Irizarry-Gelpí | Yes, I meant that group. Yes, angles are not preserved so no relation to conformal transformations. Thanks! Still, any idea where I can get a more formal treatment of these type of linear transformations? | |
| Nov 4, 2009 at 16:19 | comment | added | Reid Barton | What do you mean by SO(2,D)? I would usually interpret it as the group of linear transformations preserving a quadratic form of signature (2,D), but then the answer is clearly no, e.g., set D = 0 and notice that angles are not preserved in the picture on that Wikipedia page. | |
| Nov 4, 2009 at 15:42 | history | asked | M. E. Irizarry-Gelpí | CC BY-SA 2.5 |